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MSV 12: Significance Levels

www.making-statistics-vital.co.uk. MSV 12: Significance Levels. It is suspected that a coin is less likely to give a tail than a head when tossed. It is tossed n times, and it comes down tails X times. A hypothesis test is carried out at a significance level of L%, with

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MSV 12: Significance Levels

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  1. www.making-statistics-vital.co.uk MSV 12: Significance Levels

  2. It is suspected that a coin is less likely to give a tail than a head when tossed. It is tossed n times, and it comes down tails X times. A hypothesis test is carried out at a significance level of L%, with H0: p = ½, H1: p < ½, where p is the population probability of getting a tail.

  3. The table below shows how the significance of our result for X varies according to the size of L.

  4. Find out what p must be if • n = 29 • n = 66 • n = 92. (You will find the spreadsheet below helpful!) Significance Levels Spreadsheet Hyperlink http://www.s253053503.websitehome.co.uk/msv/msv-12/msv-12.xlsm

  5. Varying n, We can try to find a p That makes the table valid. Assuming the table is valid, plot a graph of p against n...

  6. What happens as n gets smaller? Larger? Could we use the Normal approximation to the Binomial here?

  7. www.making-statistics-vital.co.uk is written by Jonny Griffiths hello@jonny-griffiths.net

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